Dynamic analysis of a holling I predator-prey system with mutual interference concerning pest control
文献类型：期刊论文
| 作者 | Zhang, YJ; Xu, ZL; Liu, B |
| 刊名 | JOURNAL OF BIOLOGICAL SYSTEMS
 |
| 出版日期 | 2005-03-01 |
| 卷号 | 13期号:1页码:45-58 |
| 关键词 | pest control mutual interference permanence bifurcation |
| ISSN号 | 0218-3390 |
| 英文摘要 | A Holling I predator-prey model with mutual interference concerning pest control is proposed and analyzed. The prey and predator are considered to be a pest and a natural enemy, respectively. The model is forced by the addition of periodic impulsive terms representing predator import (biological control) and pesticide application (chemical control) at different fixed moments. By using Floquet theory and small amplitude perturbations, we show the existence and stability of pest-free periodic solutions. Further, we prove that when the stability of pest-free periodic solutions is lost, the system is permanent by using analytic methods of differential equation theory. Numerical solutions are also given, which show that when stability of pest-free periodic solutions is lost, more exotic behavior can occur, such as quasi-periodic oscillation or chaos. We investigate the effect of impulsive perturbations on the unforced continuous system, and find that the forced system has a different dynamical behavior with a different range of initial values which are inside or outside the unstable limit cycle of the unforced continuous system. Finally, we compare the validity of the combination of biological control and chemical control with classical methods and conclude that the synthetical strategy is more effective than classical methods if we take effective chemical control. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000228336600005 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1941]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, YJ |
| 作者单位 | 1.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China 2.Dalian Univ Technol, Dept Biosci & Biotechnol, Dalian 116024, Peoples R China 3.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, YJ,Xu, ZL,Liu, B. Dynamic analysis of a holling I predator-prey system with mutual interference concerning pest control[J]. JOURNAL OF BIOLOGICAL SYSTEMS,2005,13(1):45-58. |
| APA | Zhang, YJ,Xu, ZL,&Liu, B.(2005).Dynamic analysis of a holling I predator-prey system with mutual interference concerning pest control.JOURNAL OF BIOLOGICAL SYSTEMS,13(1),45-58. |
| MLA | Zhang, YJ,et al."Dynamic analysis of a holling I predator-prey system with mutual interference concerning pest control".JOURNAL OF BIOLOGICAL SYSTEMS 13.1(2005):45-58. |
入库方式： OAI收割
来源：数学与系统科学研究院
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